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arXiv · hep-lat/9508026

Gonihedric 3D Ising Actions

D. A. Johnston·Ranasinghe P. K. C. Malmini
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Abstract

We investigate a generalized Ising action containing nearest neighbour, next to nearest neighbour and plaquette terms that has been suggested as a potential string worldsheet discretization on cubic lattices by Savvidy and Wegner. We use both mean field techniques and Monte-Carlo simulations to sketch out the phase diagram. The Gonihedric (Savvidy-Wegner) model has a symmetry that allows any plane of spins to be flipped with zero energy cost, which gives a highly degenerate vacuum state. We choose boundary conditions in the simulations that eliminate this degeneracy and allow the definition of a simple ferromagnetic order parameter. This in turn allows us to extract the magnetic critical exponents of the system.

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D. A. Johnston, Ranasinghe P. K. C. Malmini. 1996-02-28. Gonihedric 3D Ising Actions. https://doi.org/10.1016/0370-2693(96)00391-7

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